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A slab of thickness D, whose two faces are parallel, has index of refraction n. A ray of light incident from air onto one face of the slab at incident angle θ1 splits into two rays A and B. Ray A reflects directly back into the air, while B travels a total distance ℓ within the slab before reemerging from the slab’s face a distance d from its point of entry (Fig. 32–60). (a) Derive expressions for ℓ and d in terms of D, n, and θ1. (b) For normal incidence (i.e.,
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- A ray of light is refracted through three different materials (Fig. 23-49). Which material has (a) the largest index of refraction, (b) the smallest? FIGURE 23–49 Question 14.arrow_forward109 In Fig. 34-54, a fish watcher at point P watches a fish through a glass wall of a fish tank. The watcher is level with the fish; the index of re- fraction of the glass is 8/5, and that Watcher of the water is 4/3. The distances are di = 8.0 cm, dz = 3.0 cm, and dz = 6.8 cm. (a) To the fish, how far away does the watcher appear to be? (Hint: The watcher is the object. Light from that object passes through the wall's outside surface, which acts as a refracting sur- face. Find the image produced by that surface. Then treat that im- age as an object whose light passes through the wall's inside sur- face, which acts as another refracting surface.) (b) To the watcher, how far away does the fish appear to be? de D Wall Figure 34-54 Problem 109.arrow_forwardIf the apex angle of a prism is $ = 75° (see Fig. 23–63), what is the minimum incident angle for a ray if it is to emerge from the opposite side (i.e., not be totally internally reflected), given n = 1.58? FIGURE 23-63 Problem 77.arrow_forward
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- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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